Question

Find the surface area of the triangular prism.

Answer 1

The surface area is:

`120 {cm}^(2)`

Explanation:

There are two triangles, and three rectangles in this prism. The area of a triangle is:

`(1)/(2) base * height`

and the area of a rectangle is:

`length * width`

Therefore the area of the triangle is:

`(1)/(2) (5) * 12 \\ 2.5 * 12 = 30 \\ 30 * 2 = 60`

This value is multiplied by 2 because there are 2 triangles.

The area of the slanted rectangle is (13 x 2 = 26), the area of the standing rectangle is (12 x 2 = 24), and the area of the base rectangle is (5 x 2 = 10).

Therefore the surface area of the triangular prism is; 60 + 26 + 24 + 10 =

`120 {cm}^(2)`

Answer 2

Explanation:

Surface area formula

= bh + L(s1,s2,s3)

= 5(12) + 2(12+13 +5)

= 120

Therefore the surface are is 120cm